Always try talking to the Guy.... Most of them are just plain lazy so ask them if you can clear it and mow on thier side of the fence so you don’t have to keep cutting things out of the fence....
Then spray roundup at the bottom of the fence yearly... to keep it that way.


IF the other guys is a jerk ...

Leave that fence there and build a second 6 foot wood fence inside the other fence that is closed (nothing can grow through)... then cut all the junk between them and spray round up to kill anything between those fences and mow it... problem solved.